Basic Math Examples

$\frac{10}{27} \div \frac{1}{9} \cdot \frac{7}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{10}{27} \cdot 9 \cdot \frac{7}{3}$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $\frac{10}{27} \cdot 9$ .

$3 (\frac{10}{27} \cdot 3) \cdot \frac{7}{3}$

Step 2.2

Cancel the common factor.

$3 (\frac{10}{27} \cdot 3) \cdot \frac{7}{3}$

Step 2.3

Rewrite the expression.

$\frac{10}{27} \cdot 3 \cdot 7$

Step 3

Combine $\frac{10}{27}$ and $3$ .

$\frac{10 \cdot 3}{27} \cdot 7$

Step 4

Multiply $10$ by $3$ .

$\frac{30}{27} \cdot 7$

Step 5

Combine $\frac{30}{27}$ and $7$ .

$\frac{30 \cdot 7}{27}$

Step 6

Multiply $30$ by $7$ .

$\frac{210}{27}$

Step 7

Cancel the common factor of $210$ and $27$ .

Tap for more steps...

Step 7.1

Factor $3$ out of $210$ .

$\frac{3 (70)}{27}$

Step 7.2

Cancel the common factors.

Tap for more steps...

Step 7.2.1

Factor $3$ out of $27$ .

$\frac{3 \cdot 70}{3 \cdot 9}$

Step 7.2.2

Cancel the common factor.

$\frac{3 \cdot 70}{3 \cdot 9}$

Step 7.2.3

Rewrite the expression.

$\frac{70}{9}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{70}{9}$

Decimal Form:

$7.\overline{7}$

Mixed Number Form:

$7 \frac{7}{9}$